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quester [9]
3 years ago
13

Solve by completing the square x^2-6x-16=0

Mathematics
2 answers:
Greeley [361]3 years ago
7 0

Answer:

x = 8 or

x = -2

Step-by-step explanation:

<h2><em>Completing The Square</em><em>:</em></h2>

x² - 6x - 16 = 0

Here,

a = 1

b = -6

c = -16

Now,

x² - 6x + [6/2(1)]² - [6/2(1)]² - 16 = 0

x² - 6x + (6/2)² - (6/2)² - 16 = 0

x² - 6x + (3)² - (3)² - 16 = 0

(x - 3)² - 9 - 16 = 0

(x - 3)² - 25 = 0

(x - 3)² = 25

x - 3 = +-√25

x - 3 = +- 5

x = 3 +- 5

x = 3 + 5 or x = 3 - 5

<em><u>x = 8 or x = -2</u></em>

Hope it's helpful

Elan Coil [88]3 years ago
3 0

Answer:

Step-by-step explanation:

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A suit is on sale for 72% off. The sale price is $263.20.<br> What is the regular price?
Elis [28]

Answer:

940

Step-by-step explanation:

<em>To find the original price of something that been discount do the following:</em>

  • <em>Subtract the discount from 100 to get the percentage of the original price.</em>
  • <em>Multiply the final price by 100.</em>
  • <em>Divide by the percentage in Step One.</em>

<em>Or we can do the following:</em>

<em>We shall consider the original price as x; hence the discount can be considered as (x−263.20). We can write the equation:</em>

<em>x · 72/100=x - 263.20</em>

<em>x · 18/25 = x - 263.20</em>

<em>Multiply both sides by 25</em>

<em>18x = 25(x - 263.20)</em>

<em>Open the brackets.</em>

<em>18x = 25x-6580</em>

<em>Add 6580 to each side.</em>

<em>6580 +18x = 25x</em>

<em>Subtract 18x from each side.</em>

<em>6580 = 7x</em>

<em>Subtract 7x from each side.</em>

<em>x = 940</em>

<em>Check Answer:</em>

<em>940 * 72% = 676.80</em>

<em>940 - 676.80=263.20</em>

<em>Hence, the regular price is 940.</em>

<em />

<u><em>~lenvy~</em></u>

8 0
3 years ago
Read 2 more answers
In January, Bangkok is hotter than Cape Town while Cape Town is hotter than Moscow. Which inequality correctly compares the temp
igor_vitrenko [27]

Answer: The correct option is D.

Explanation:

It is given that in January, Bangkok is hotter than Cape Town it means the temperature of Bangkok is greater than the temperature of Cape Town. It can be written in the inequality form as shown below,

Bangkok's temperature > Cape Town's temperature

It is the conclusion (1).

It is also given that the Cape Town is hotter than Moscow it means the temperature of Cape Town is greater than Moscow. It can be written in the inequality form as shown below,

Cape Town's temperature > Moscow's temperature

It is the conclusion (2).

When we combine conclusion (1) and (2). We get

Bangkok's temperature > Cape Town's temperature > Moscow's temperature

This statement is shown in option D, therefore the correct option is D.

5 0
3 years ago
HELP PLEASEEEEEEE!!!!!!!
Cerrena [4.2K]
B is the answer

harry styles loves you bruv <3
6 0
3 years ago
PLEASE HELP ME!!!
allsm [11]

Answer: 25??

Step-by-step explanation: $8×25= $200

i dont know if thats your answer thats just all the adults that could get in for $200.

-Zoey Lee

<h2 />
7 0
3 years ago
If ∆GFE ~ ∆CBE, find the value of x
saw5 [17]
2/5 x 60 = 24
2/5 x (4x - 1) = x+5
8x - 2 = 5x + 25
3x = 27
x = 9
The value of x is 9
4 0
3 years ago
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